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Statistical Mechanical Analysis of Compressed Sensing Utilizing Correlated Compression Matrix

by: Koujin Takeda, Yoshiyuki Kabashima
(7 Jul 2010)  Key: citeulike:6600365

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Abstract

We investigate a reconstruction limit of compressed sensing for a reconstruction scheme based on the L1-norm minimization utilizing a correlated compression matrix with a statistical mechanics method. We focus on the compression matrix modeled as the Kronecker-type random matrix studied in research on multi-input multi-output wireless communication systems. We found that strong one-dimensional correlations between expansion bases of original information slightly degrade reconstruction performance.


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